Pith Number

pith:XPRR642W

pith:2013:XPRR642WAUH35SUJXVSXEOXNGT

not attested not anchored not stored refs pending

Fractional type Marcinkiewicz integral operators associated to surfaces

K\^oz\^o Yabuta, Yoshihiro Sawano

arxiv:1305.6683 v1 · 2013-05-29 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPRR642WAUH35SUJXVSXEOXNGT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:22:18.101216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe31f7356050fbeca89bd65723aed34cfaea596df10aa936f62e3e1d6fa75cb

Aliases

arxiv: 1305.6683 · arxiv_version: 1305.6683v1 · doi: 10.48550/arxiv.1305.6683 · pith_short_12: XPRR642WAUH3 · pith_short_16: XPRR642WAUH35SUJ · pith_short_8: XPRR642W

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XPRR642WAUH35SUJXVSXEOXNGT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bbe31f7356050fbeca89bd65723aed34cfaea596df10aa936f62e3e1d6fa75cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01492163f8a5d16d212583bd6fe79367b71b0e9b6b84bdcfff6595c1d8c864cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-29T03:26:13Z",
    "title_canon_sha256": "3f8ed43df7f2e16d2c2be51043f2797f0650ba697b392d6add909d8ddbcc1ce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6683",
    "kind": "arxiv",
    "version": 1
  }
}